Which equation in equality shows the relationship between the values |7| And |-7|
A |7|>|-7|
B |7|<|-7|
C |7|=|-7|
D |7|. |-7|

Answer d has an equal sign with a slash in it

Answer: cccc

Step-by-step explanation: dum c

Answer:

Step-by-step explanation:

P = 4 a

a = √p^2 + q^2 / 2

P = 2√p^2 + q^2 = 2 x √42^2 + 40^2 = 116cm

∴ the perimeter of a rhombus when the diagonals are 42cm and 40cm is 116cm

The solution to find the five number summary shown below.

When conducting descriptive analyses or conducting an initial analysis of a sizable data set, a five-number summary is particularly helpful. The maximum and minimum values in the data set, the lower and upper quartiles, and the median make up a summary's five values.

To find a five number summary we have follow:

Learn more about five number summary here:

https://brainly.com/question/29297089

#SPJ1

The solution is the point (0, 1/6) y = 1/6

Given the equation y = (-3/4)x + 1/6, which represents a linear equation, there is no "system" of equations involved since there is only one equation.

In this case, the equation is in slope-intercept form (y = mx + b),

where m represents the slope (-3/4) and b represents the y-intercept (1/6).

The slope-intercept form allows us to determine various properties of the equation.

Since there is only one equation, the solution to this equation is a single point on the Cartesian plane.

Each pair of x and y values that satisfy the equation represents a solution.

For example, if we choose x = 0, we can substitute it into the equation to find the corresponding y value:

y = (-3/4)(0) + 1/6

y = 1/6

Therefore, the solution is the point (0, 1/6).

In summary, the given equation has a unique solution, represented by a single point on the Cartesian plane.

Any value of x plugged into the equation will yield a corresponding y value, resulting in a unique point that satisfies the equation.

For similar question on linear equations.  

https://brainly.com/question/22688504

#SPJ8

answer: b = 9metres

l = 19metres

Answer:

Dimensions are L=19, w=9, or L=9, w=19

Step-by-step explanation:

Perimeter P=2(L+W)

So,  56=2(L+W)

       28=L+W

        L=28-W

Area         A=L*W

Because A=171, so 171=L*W

Substituting the expressions: put L=28-w, to 171=L*W,

So, 171=(28-W)W

     171=28w-w²

     W²-28W+171=0

      (W-9)(W-19)=0

      W=9, or W=19

We got L=28-W before, so when w=9, put to L=28-W, so, L=19

Dimensions are L=19, w=9, or L=9, w=19

B) 4 less than a number.

Answer:

Mean=2.1

Median=2

Mode=1,2, and 3

Range=5

Step-by-step explanation:

Mean is all the numbers added up and then divided by the amount of numbers there are, so 0+1+0+2+3+1+3+5+4+2=21, and then 21 divided by 10=2.1

Median is lining all the numbers up least to greatest and then finding the middle number, which is 2.

Mode is the number that appears the most, and since 1,2,3 all appeared twice in the data, they are the mode.

Range is the highest number in the data subtracted by the lowest number in the data, so 5-0=0

(hope this helps!)

Given that the polynomials p(x) = 5x²-x+ 4 and q(x) = 3x² + 7x-1,

a. The polynomial  p(x) + q(x) =  8x² + 6x + 3.

b. The polynomial  2p(x) - q(x) =  7x² - 9x + 9.

c. The polynomial p(x)q(x) = 15x⁴ - 3x³ + 35x² + 27x - 4

A polynomial is a mathematical function in which the power of the unknown is greater than or equal to 2.

1. Given the polynomials p(x) = 5x²-x+ 4 and q(x) = 3x² + 7x-1, we desire to find p(x) + q(x), we proceed as follows.

To find  p(x) + q(x), we add both polynomials. so, we have that

p(x) = 5x²- x + 4 and g(x) = 3x² + 7x - 1.

So,   p(x) + q(x) = 5x²- x + 4 + 3x² + 7x - 1.

Collecting like terms, we have that the equation

p(x) + q(x) = 5x² + 3x² + 7x - x + 4 - 1.

= 8x² + 6x + 3.

So, p(x) + q(x) =  8x² + 6x + 3.

b. To find  2p(x) + q(x), we add both polynomials. so, we have that

p(x) = 5x²- x + 4 and g(x) = 3x² + 7x - 1.

We multiply p(x) by 2 to obtain 2p(x). so,

2p(x) = 2(5x²- x + 4)

= 10x²- 2x + 8

So,   2p(x) + q(x) = 10x²- 2x + 8 - (3x² + 7x - 1)

= 10x²- 2x + 8 - 3x² - 7x + 1)

Collecting like terms, we have that the equation

2p(x) + q(x) = 10x² - 3x² - 7x - 2x + 8 + 1.

= 7x² - 9x + 9.

So, 2p(x) - q(x) =  7x² - 9x + 9.

c. To find  p(x)q(x), we multiply both polynomials. so, we have that p(x) = 5x²- x + 4 and g(x) = 3x² + 7x - 1.

p(x)q(x) = (5x²- x + 4)(3x² + 7x - 1)

= 5x²×3x² + 5x² × 7x + 5x²(-1) - x × 3x² - x × 7x - x × ×(-1) + 4 × 3x² + 4 × 7x  + 4 × (-1)

= 15x⁴ + 35x² - 5x² - 3x³ - 7x² - x + 12x² + 28x - 4

Colecting like terms, we have that

= 15x⁴ - 3x³ + 35x² - 5x²  - 7x² + 12x² - x + 28x - 4

= 15x⁴ - 3x³ + 35x² + 27x - 4

So, p(x)q(x) = 15x⁴ - 3x³ + 35x² + 27x - 4

Learn more about polynomials here:

https://brainly.com/question/30284558

#SPJ1

If Faleye Consulting’s WACC is 10% and both “projects” can be repeated indefinitely, the system that should be chosen is System A, and its EAA is $2,866.91.

The EAA of a project is the Equivalent Annual Annuity.  The EAA can be determined using the following formula.

EAA = r x NPV1 - (1 + r)-n

Where the EAA = Equivalent Annual Annuity

r = interest rate per period

n = project duration

NPV = Net present value of project

We can also compute the EAA by using an online finance calculator as follows:

                                                System A        System B

After-tax cost                           $19,000         $13,000

After-tax cash flows                 $6,000           $6,000

Equipment duration                 6 years           3 years

WACC = 10%

Annuity factor                            4.355              2.487

Present value of cash flows $26,130          $14,922 ($6,000 x 2.487)

NPV                                          $7,130           $1,922 ($14,922 - $13,000)

EAA (an online calculator)    $2,866.91        $800.966

Thus, using the EAA rule, the computer system that should be chosen is System A because it has a higher EAA than System B.

Learn more about the equivalent annual annuity at https://brainly.com/question/20566589

Answer:

37 more than the quotient of 24 and 8 ​= 24 ÷ 8 + 37

Step-by-step explanation:

24 ÷ 8 + 37

Order of Operations

3 + 37

Add

= 40

The expression is 24 ÷ 8 + 37

The value of u is 2 in the given right-angled triangle.

The given figure is a right-angled triangle with hypotenuse 'u' and the other two sides as \(\sqrt{2}\) and v.

We have to find the value of 'u' using Pythagoras theorem or trigonometric identities.

It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

In a right-angled triangle ABC, if

BC = hypotenuse

AC and AB are the other two sides then,

\(BC^2 = AC^2 + AB^2\).

For this problem, we can find the value of u by using trigonometric identities.

From the figure, we have an angle of 45°.

Consider Cos 45°.

Cos Ф = base / hypotenuse

Cos 45° = \(\sqrt{2}\) / u ...........(1)

From trigonometric identities of cosine.

We have,

Cos 45° = 1 / \(\sqrt{2}\)............(2)

From (1) and (2)

We get,

1 / \(\sqrt{2}\) = \(\sqrt{2}\) / u

u = 2.

Thus the value of u is 2 in the given right-angled triangle.

Learn more about Pythagoras's theorem application here:

https://brainly.com/question/11687813

#SPJ1

Given:

The price of shoes after discount = 27

Discount % = 40%

To find:

The original price of shoes before discount.

Solution:

Let x be the original price of shoes before discount.

The price of shoes after 40% discount is

\(\text{New price}=x-\dfrac{40}{100}\times x\)

\(\text{New price}=x-0.4x\)

\(\text{New price}=0.6x\)

The price of shoes after discount = 27

\(27=0.6x\)

\(\dfrac{27}{0.6}=x\)

\(45=x\)

Therefore, the original price of the shoes is 45.

Answer:

5.

Step-by-step explanation:

15.90 / 3.18 =

The number of students enrolled in castle rock school is 625

information from the problem

At castle rock school 575 students ride their bikes to schoolin the theater

If this number is 92% of the school enrollment

how many students are enrolled = ?

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

92%

= 92 percent

= 92 / 100

= 0.92

The factor 0.92 of the total number gives 575 students

let the total number be x

0.92 * x = 575

0.92x = 575

x = 575 / 0.92

x = 625

The total number of students is 625

Learn more about percent here:

https://brainly.com/question/29230566

#SPJ1

Answer:

4 division facts

Answer:

Step-by-step explanation:

1. If there are 4 apples, each apple has 4 fourths x 4 apples =16 fourths

2. Something is missing???

3. 6/4 x 5/5=30/20, 15/10 x 2/2=30/20 so both are same length

The earth is 3.91×10^8 miles closer to the sun than jupiter

Distance is the space or gap between two points or bodies. It is a scalar quantity and measured in cm, m, km, miles e.t.c

The distance between the earth and the is 9.3×10^7 miles and the distance of Jupiter from the sun is 4.84×10^8 . This shows that the earth is closer to sun than Jupiter.

The dimension of how closer the earth is to the sun than Jupiter is therefore

( 4.84×10^8)-(9.3×10^7)= 3.91×10^8 miles

learn more about distance from

https://brainly.com/question/26046491

#SPJ1

Answer:

6.28 units²

Step-by-step explanation:

The formula for finding the area of a circle:

πr²

We are given r = 2. So,

π(2)²

12.56 units²

However, it is a semicircle. So, only half of this value is needed.

12.56/2 = 6.28 units²

Answer:

area =12.56

Step-by-step explanation:

area of a semicircle=(pi(r)^2)/2

(3.14(2)^2)/2

(3.14(4))/2

12.56/2

6.28

The quotient of - 3.32 / - 2.2 is 8 ÷5.

Given fraction:

-3.32 / -2.2

First step is to re-write the given fraction which is - 3.52 / - 2.2

3.52 / 2.2

Second step is to convert the decimal to fraction

352 ÷ 100 / 22 ÷10

Third step is to reduce the fraction

reducing 352/100

=(2^5 × 11)/(2^2 × 5^2)

= [(2^5 × 11) ÷ 2^2] / [(2^2 × 5^2) ÷ 2^2]

= (2^3 × 11)/5²

= 88/25

Reducing 22/10

Divide the numerator and denominator by the greatest common divisor

= 22 ÷ 2 / 10 ÷ 2

= 11 /5

Now let determine  or find the quotient

88 ÷ 25 × 11 ÷ 5

= 8 ÷ 5

Therefore we can conclude that 8 ÷ 5 is the quotient.

Learn more about quotient here: https://brainly.com/question/11418015

#SPJ1

a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:

235 = a * b ^ 0

395 = a * b ^ 10

Solving for a and b, we get:

a = 235

b = (395/235)^(1/10) = 1.067

Therefore, the exponential model for new cases in Milwaukee is:

y = 235 * 1.067 ^ x

b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:

y = 235 * 1.067 ^ 19 = 1018.5

Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.

c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.

The total cost of Joeli's purchases is $45.35.

What is the addition?

Addition is a mathematical operation that combines two or more numbers or quantities to produce a sum. It is one of the four basic arithmetic operations, along with subtraction, multiplication, and division. In addition, the numbers being combined are called addends, and the result is called the sum. The addition operator is represented by the symbol "+".

To find the total cost of Joeli's purchases, we need to add the cost of the helmet to the cost of the elbow pads:

Total cost = helmet cost + elbow pads cost

Total cost = $27.57 + $17.78

Total cost = $45.35

Therefore, the total cost of Joeli's purchases is $45.35.

To learn more about the addition, visit:

https://brainly.com/question/24536701

#SPJ1

Answer:

      Equation to find x: \(60+2x+x=180\)

      x= 40°

Step-by-step explanation:

We should know that if we add all the angles of a triangle it will give us 180 so the formula you could use is \(m<1+m<2+m<3=180\) so now we plug in what we know.

\(60+2x+x=180\)

Once we got our equation we can solve for x.

\(60+2x+x=180\\60+3x=180\\3x=120\\x=40\)

Answer:

10 yd, because you subtract 15 to 5.

Answer: -84

Step-by-step explanation:

Answer:

-84

Step-by-step explanation:

multiply both sides by 12

384+h=300

move the 384 to the right and change the sign

300-384= -84

The slope of the line passing through points A and B is 1/3.

The formula for the slope of a line to find the slope passing through points A and B. The formula is:

slope = (change in y) / (change in x)

Let's label the coordinates of point A as (x₁, y₁) and the coordinates of point B as (x₂, y₂).

Then, substitute the values and calculate the slope:

slope = (y₂ - y₁) / (x₂ - x₁)

slope = (3 - 2) / (3 - 0)

slope = 1 / 3

Therefore, the slope of the line passing through points A and B is 1/3.

Learn more about the Slope of the Line here:

brainly.com/question/14511992

#SPJ1

Normal diastolitic blood preasure = less than 80

Then most of the people has a diastolitic blood preasure between 70 and 90 mmHg.

The probability must be 100%.

or close to 100%

The unit price of the first one which is a is 8 cents an ounce. The second one is 9 cents an ounce.

What you do is you take your price and divide it by the ounces.

Question one's answer is 0.08

Question two's answer is 0.09

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

The 90% confidence interval would be  narrower than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The 95% confidence interval is  0.69 to 0.91.

Generally the width of a confidence interval is dependent on the margin of error

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }\)

Here we see that

           \(E \ \ \alpha \ \  Z_{\frac{\alpha }{2} } \)

    Here  \(Z_{\frac{\alpha }{2} } \)  is the critical value of half of the level of significance .

    This value increase as the value of confidence level increase and vise versa

So for 90% confidence interval , the confidence level is  90% , hence the value of  \(Z_{\frac{\alpha }{2} } \)  will decrease  which will in turn decrease the value of E , hence the width of the interval will reduce

So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant